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Finding the Fourth Proportional to 3,380.31, 4,663.44 and 2,053.80

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Solution

The fourth proportional to 3,380.31, 4,663.44 and 2,053.80 is: 2,833.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.31 : 4,663.44 = 2,053.80 : x
  2. Step 2: Convert to fraction form
    3,380.31/4,663.44 = 2,053.80/x
  3. Step 3: Cross multiply
    3,380.31x = 4,663.44 × 2,053.80
  4. Step 4: Simplify right side
    3,380.31x = 9,577,773.07
  5. Step 5: Solve for x
    x = 9,577,773.07/3,380.31
  6. Step 6: Final answer
    x = 2,833.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.